Exploring Rectangles: Same Area, Different Perimeter

In this lesson, the teacher explores whether rectangles can have the same area but different perimeters. The lesson begins with a review of area and perimeter concepts, followed by calculations for three rectangles (A, B, and C) to demonstrate that rectangles with the same area can indeed have different perimeters. The lesson concludes with a wrap-up and a quiz assignment on Edmodo.

What is the formula for calculating the area of a rectangle?

• 2 x (Length + Width)

• Length x Width

• Length / Width

• Length + Width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the formula used to calculate a rectangle's perimeter?

• Length + Width

• Length x Width

• 2 x (Length + Width)

• Length / Width

Tags

CCSS.4.MD.A.3

Can rectangles have the same area but different perimeters?

• Yes, it depends on their length and width

• Yes, always

• No, never

• Yes, but only in special cases

Tags

CCSS.3.MD.D.8

What is the area of Rectangle A?

• 16 in

• 8 in squared

• 8 in

• 16 in squared

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the perimeter of Rectangle B?

• 16 in squared

• 34 in

• 20 in

• 16 in

Tags

CCSS.4.MD.A.3

What is the area of Rectangle B?

• 16 in squared

• 34 in squared

• 16 in

• 20 in squared

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How does the perimeter of Rectangle C compare to Rectangle A?

• It is the same

• It is less

• It is more

• Cannot be determined

What is the perimeter of Rectangle C?

• 16 in squared

• 20 in

• 16 in

• 34 in

Tags

CCSS.4.MD.A.3

What demonstrates that rectangles can have the same area but different perimeters?

• All rectangles having the same length and width

• Rectangles with different lengths and widths but the same area

• Rectangles with the same perimeter

• All rectangles having different areas

Tags

CCSS.3.MD.D.8

What did the lesson conclude about rectangles with the same area?

• They cannot exist

• They always have the same perimeter

• They have the same length and width

• They can have different perimeters

Tags

CCSS.3.MD.D.8